Question

Find the set of the possible values of p for which the equation 3x² + px + 3 = 0 has no real roots.

*Using graphical method or comparing the signs.

Answer 1

`delta = {b}^(2) - 4ac = {p}^(2) - 4 * 3 * 3 = {p}^(2) - 36`

The equation has no real roots if delta <0

that is -6<p<6